We look at the division of 17897 by 14 
Let's see how many times 14 fits into 17897.

Advancing to step 1:
14 goes into 1 0 times with a remainder of 1.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 1 after subtracting 0 from 1.
Include the next digit (7) from the dividend after 1, then repeat: 17 / 14

Step 2:
14 goes into 17 1 times with a remainder of 3.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
Subtracting 14 from 17 leaves us with 3.
Take the next digit (8) from the dividend and append it to 3, then repeat: 38 / 14

Step 3:
14 can be fit into 38 2 times, resulting in a remainder of 10.
The next digit of our result is 2. 
Result so far: 12.0
If we take 28 away from 38, we end up with 10.
Append the next digit (9) from the dividend to 10 and continue with: 109 / 14

Advancing to step 4:
When dividing 109 by 14, we get 7 with a remainder of 11.
Use 7 as the next digit of our solution. 
Result so far: 127.0
Deduct 98 from 109 and we're left with 11.
Bring next digit (7) of the dividend behind the 11 and repeat the process: 117 / 14

Step 5:
If we divide 117 by 14, we get 8 and a remainder of 5.
Use 8 as the next digit of our solution. 
Result so far: 1278.0
If we take 112 away from 117, we end up with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

On to step 6:
The number 14 fits into 50 3 times, leaving a remainder of 8.
Record the quotient 3 as the next digit in the result. 
Result so far: 1278.3
Subtract 42 from 50 to get 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Moving on to step 7:
80 divided by 14 is 5 with a remainder of 10.
The number 5 becomes the next digit in our result. 
Result so far: 1278.35
If we take 70 away from 80, we end up with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Going ahead to step 8:
If we divide 100 by 14, we get 7 and a remainder of 2.
The next digit of our result is 7. 
Result so far: 1278.357
Deduct 98 from 100 and we're left with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Step 9:
If we divide 20 by 14, we get 1 and a remainder of 6.
The number 1 becomes the next digit in our result. 
Result so far: 1278.3571
If we subtract 14 from 20, we get 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Going ahead to step 10:
The number 14 fits into 60 4 times, leaving a remainder of 4.
Use 4 as the next digit of our solution. 
Result so far: 1278.35714
The remainder is 4 after subtracting 56 from 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Let's proceed to step 11:
If we divide 40 by 14, we get 2 and a remainder of 12.
The next digit of our result is 2. 
Result so far: 1278.357142
Subtracting 28 from 40 leaves us with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Let's proceed to step 12:
If we divide 120 by 14, we get 8 and a remainder of 8.
The next digit of our result is 8. 
Result so far: 1278.3571428
Deduct 112 from 120 and we're left with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Step 13:
If we divide 80 by 14, we get 5 and a remainder of 10.
Use 5 as the next digit of our solution. 
Result so far: 1278.35714285
If we subtract 70 from 80, we get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

After the division, we end up with 1278.35714285 and a remainder of 1e-08.